Find the measure of angle 1.
5)
AB is a straight line.
A
152⁰
B

Using the combination formula, it is found that the probability that the ticket i hold has the winning numbers is:

[tex]p = \frac{1}{29,322,216}[/tex].

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

For the winnerballs, 5 balls are taken from a set of 44, hence:

[tex]C_{44,5} = \frac{44!}{5!39!} = 1086008[/tex]

Considering the numbered balls, the number of outcomes is given by:

N = 27 x 1086008 = 29,322,216.

Hence the probability is given by:

[tex]p = \frac{1}{29,322,216}[/tex].

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The quantity of bread that Debbie uses each week on the average is = 54 loaves of bread

The number of days the restaurant opens per week = 6 days.

The number of bread she uses everyday is = 9 loaves.

Therefore, the quantity of bread that Debbie uses each week on the average is = 6×9 = 54 loaves of bread.

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C- 1/5

Step-by-step explanation:

a = 2 - 9a

10a = 2

a = 2/10

a = 1/5

Hope u got it (◠‿・)—☆

Answer:

Its 250 the answer which i got.

Answer:

After investing for 5 years at 5% interest, your $1,000 investment will have grown to $1,276

Step-by-step explanation:

Answer:

4158cm cubed. Hope this helped!

If she rides for 6 more days, what is the average number of miles she would have to ride each day to meet her goal is 4.7

We have given that,

Bilquis wants to ride her bicycle 47.6 miles this week. She has already ridden 8 miles.

We have to determine that If she rides for 6 more days, what is the average number of miles she would have to ride each day to meet her goal.

Based on the given conditions, formulate: 8+4x=26

Rearrange unknown terms to the left side of the equation:4x=26-8

Calculate the sum or difference:4x=18

Divide both sides of the equation by the coefficient of the variable:4x/4=18/4

Calculate the product or quotient:x=18/4

We get the result:4.7

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Answer: The answer is 6.6

Step-by-step explanation:

Answer:

81m^6 - 323 m^5 + 432m^4 - 192m^3

Step-by-step explanation:

Comment

If you are given choices, you should list them please. Otherwise we cannot be certain our answers are taken far enough.

The general formula for expanding a binomial raised to the third power is

(a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3

Solution

To modify the general formula to suit this problem, let

a = 3m

b = - 4

When that is done, the general equation becomes

(3m)^3 - 3* (3m)^2 * 4 + 3 * 3m * 4^2 - 4^3

(3m - 4)^3 = 27m^3 - 108 m^2 + 144m - 64

Multiply everything in the 4-nomial by 3m^3

(27m^3 - 108 m^2 + 144m - 64)3m^3

81m^6 - 323 m^5 + 432m^4 - 192m^3  which is your answer. I see why you didn't include it, with other (incorrect)  possibilities.

Answer:

B.

Step-by-step explanation:

The product of means that you're multiplying, which means that you need to use parentheses. That narrows it down to B or D. Since the question asks you to provide a number first (x) and then 11, that means that 11 will be subtracted from the number.

At least 1 right angle = A, C and E

At least 2 sides of equal length = B and E

At least 1 pair of parallel sides= B and E

Parallel lines are those lines that are apart and they never meet till infinity.

Example of shapes that have sides with parallel line are the rectangle and parallelograms.

The shape B and E are rectangles and parallelograms respectively.

The shape that has angle 90° are right angle triangles and trapezium.

Therefore, the shapes that has right angles are A which is a trapezoid and E which is a rectangle.

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Answer:

Step-by-step explanation:

Answer:

3 months

Step-by-step explanation:

G1= 10 m +45

G2=25

10 m + 45= 25 m

10 m - 25 m = -45

-15 m/-15=-45/-15

m=3

∴ it's 3 months

Answer:

0.5

Step-by-step explanation:

1)  (12h + 10a = 7) × 3  ⇒ (1) 36h + 30a = 21

2)  (5h + 15 = 4) × -2 ⇒ + (2)  - 10h - 30a = 8

                                             ----------------------

                                                 26h  =   13

                                                 -----         -----

                                                  26          26

                                          h = 13    ÷ 13

                                                  ---

                                                 26  ÷  13

                                          h = 1

                                              ----          =  0.5

                                                 2

Answer:

1 hex bolt weight 0.5 lbs.

Answer: its -0

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The vertical asymptotes are the red dashed lines. They are x = -4 and x = 0. Think of them as electric fences that the graph cannot touch or cross. The curve can only get closer and closer.

This question has already been posted, so all credit goes to jimthompson5910.

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Answer:

y = 7 x - 13. y=7x−13. Swap sides so that all variable terms are on the left hand side. Swap sides so that all variable terms are on the left hand side.7x-13=y. 7x−13=y. Add 13 to both sides. ... 7x=y+13. 7x=y+13. Divide both sides by 7. ... \frac{7x}{7}=\frac{y+13}{7} 77x​=7y+13​ Dividing by 7 undoes the multiplication by 7.

Step-by-step explanation: hope this helps

Answer:

-7

Step-by-step explanation:

Answer:

[tex]6\sqrt{25}[/tex]

Step-by-step explanation:

[tex]\sqrt{125} = 5\sqrt{5} \\\sqrt{45} = 3\sqrt{5} \\\sqrt{20} = 2\sqrt{5} \\5\sqrt{5} + 3\sqrt{5} -2\sqrt{5} =6\sqrt{25}[/tex]

Answer:

C

Step-by-step explanation:

Comment

The square root of 48 is nowhere near 12. That means that A and D are wrong. On a test that's an important consideration because if you have to guess, you've just cut the possibilities down to 2.

So the answer must  be B or C. Furthermore, you don't have to go to the trouble of factoring 48 to show that it is 4 sqrt(3). There's no other choice.

So what about x^5. 5 is an odd number. That means that one of the xs is left underneath the square root sign. That makes B incorrect. Without doing a calculation, I know that C is the answer.

Note

x^5 = x * x * x * x * x

The rule is for ever 2 factors that are the same, 1 factor is put in front of the square root sign and the other 1 is thrown out.

√x^5 = √x * x * x * x * x  = x * x √x

Therefore the answer to the problem is 4 x * x√3 x = 4x^2√3x

Answer:

The answer is 33.31

Step-by-step explanation:

-41/2 ×-13/8

-41×-13 = 533

2×8=16

therefore, 533/16

ans= 33.31

I hope this helps.

Answer: (2,9)

Step-by-step explanation:

It lies in the region that is shaded both red and blue (representing the fact that it satisfies both inequalities).

x = 14 and  x = -2

===========================================

Work Shown:

[tex]|x-6| = 8\\\\x-6 = 8 \ \text{ or } \ x-6 = -8\\\\x = 8+6 \ \text{ or } \ x = -8+6\\\\x = 14 \ \text{ or } \ x = -2\\\\[/tex]

-------------

Checking the answer x = 14

[tex]|x-6| = 8\\\\|14-6| = 8\\\\|8| = 8\\\\8 = 8\\\\[/tex]

That solution is confirmed.

Repeat for x = -2

[tex]|x-6| = 8\\\\|-2-6| = 8\\\\|-8| = 8\\\\8 = 8\\\\[/tex]

The second solution is confirmed.

Answer: A. x = 14, x = -2

Step-by-step explanation:

|x-6| = 8

this means x = 6+8 and x = 6-8

therefore, x = 14, x = -2

(i) The simultaneous equations in a, b and c are a+b+c = 7 , 4a+2b+c = 9 & 9a+3b+c = 13  

(ii) Expression for nth term = n²-n+7

The first three terms of the sequence are 7, 9, 13

nth term = an²+bn+c

If we put n = 1 then,

1st term = a(1)²+b+c

⇒ a+b+c = 7   ......(1)

If we put n = 2 then,

2nd term = a(2)²+b×2+c

⇒ 4a+2b+c = 9    ........(2)

3rd term = a(3)²+b×3+c

⇒ 9a+3b+c = 13   .......(3)

Multiplying 4 with (1) and subtract (2) from (1) we get,

(4a+4b+4c)-(4a+2b+c)=28-9

⇒ 4a+4b+4c-4a-2b-c=19

⇒ 2b+3c=19 .....(4)

Multiplying 9 with (1) and subtract (3) from (1) we get,

(9a+9b+9c)-(9a+3b+c)=63-13

⇒ 9a+9b+9c-9a-3b-c=50

⇒ 6b+8c=50

⇒ 3b+4c=25 .....(5)

Multiplying 3 with (4) and multiplying 2 with (5), then subtract (5) from (4),

3(2b+3c)-2(3b+4c)=57-50

⇒ 6b+9c-6b-8c=7

⇒ c = 7

From (5),

3b+28 = 25

⇒ 3b = -3

⇒ b = -1

From (1),

a+(-1)+7 = 7

⇒ a-1=0

⇒ a=1

So, nth term = n²-n+7

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Answer:

No, the solution is -3.

Step-by-step explanation:

3y+10=-5y-14

We move all terms to the left:

3y+10-(-5y-14)=0

We get rid of parentheses

3y+5y+14+10=0

We add all the numbers together, and all the variables

8y+24=0

We move all terms containing y to the left, all other terms to the right

8y=-24

y=-24/8

y=-3

Answer:

y = - 3

Step-by-step explanation:

3y + 10 = - 5y - 14 ( add 5y to both sides )

8y + 10 = - 14 ( subtract 10 from both sides )

8y = - 24 ( divide both sides by 8 )

y = - 3

Answer:

88 i think so

Step-by-step explanation:

The value of (f + g)(x) is 2x + 8

Let f(x) = 4x + 3 and g(x) = -2x + 5.

Find (f + g)(x).

The functions are given as:

f(x) = 4x + 3

g(x) = -2x + 5

The composite function (f + g)(x) is calculated using

(f + g)(x) = f(x) + g(x)

Substitute known values

(f + g)(x)= 4x + 3 - 2x + 5

Evaluate the like terms

(f + g)(x)= 2x + 8

Hence, the value of (f + g)(x) is 2x + 8

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Answer:

There are 8 possible answers for the value of m

Step-by-step explanation:

3025 (55^2), 3136 (56^2), 3249 (57^2)...., 3844(62^2)

The square of the numbers 55-62 could be a solution set for m.

Answer:

A. JK and LM lie in the same plane

B. JK and LM do not intersect

E. JK and LM are parallel

Step-by-step explanation:

hope this helped

Answer:

g = [tex]\frac{x-2}{3}[/tex]

Step-by-step explanation:

x = 3g + 2 ( subtract 2 from both sides )

x - 2 = 3g ( divide both sides by 3 )

[tex]\frac{x-2}{3}[/tex] = g

Answer:

Step-by-step explanation:

x =3g + 2

3g + 2 = x

3g = x - 2

g = 1/3 x - 2/3

Answer: g = 1/3x - 2/3

The fields in which Trigonometry is well applied and their explanations are as explained below.

The three fields that trigonometry is useful are as described below;

1) In construction;

Trigonometry is useful in Construction field because it can be used in measurement of walls parallel and perpendicular; Installing ceramic tiles; Roof inclination; the height of the building, the width length e.t.c. It is also useful in finding roof slopes, ground surfaces, sun shading and light angles.

2) In marine biology;

Marine biologists utilize trigonometry to establish measurements. For instance, when trying to find out the manner in which light levels at different depths affect the ability of algae to photosynthesize. Trigonometry is used in finding the distance between celestial bodies. Marine biologists also use it to create mathematical models to measure and understand sea animals and their behavior.

3) In criminology:

In criminology, trigonometry is useful in calculating a projectile’s trajectory in order to estimate the possible cause of a collision in a car accident or the manner in which an object fall down or in which angle a bullet was shot etc.

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The lines through each set of ordered pairs are neither parallel nor perpendicular.

The ordered pairs are given as:

(8, 3) (-2, 5) and (-2, -5) (-1, -10)

Start by calculating the slope (m) using:

m = (y2 - y1)/(x2 - x1)

For the first pair, we have:

m = (5 - 3)/(-2 - 8)

m = -1/5

For the second pair, we have:

m = (-10 + 5)/(-1 + 2)

m = -5

Both slopes are not equal, so they are not parallel

Also, both slopes are not opposite reciprocals, so they are not perpendicular.

Hence, the lines through each set of ordered pairs are neither parallel nor perpendicular.

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